Search a number
-
+
232421124232 = 231143124949177
BaseRepresentation
bin1101100001110101100…
…0001110100010001000
3211012220211100102221101
43120131120032202020
512301444301433412
6254434531151144
722535416650043
oct3303530164210
9735824312841
10232421124232
118a629735750
12390654454b4
1318bc0187c5b
14b36bcc7c5a
1560a48e8457
hex361d60e888

232421124232 has 64 divisors (see below), whose sum is σ = 486862200000. Its totient is φ = 103104368640.

The previous prime is 232421124227. The next prime is 232421124281.

232421124232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232421124232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4701628 + ... + 4750804.

It is an arithmetic number, because the mean of its divisors is an integer number (7607221875).

Almost surely, 2232421124232 is an apocalyptic number.

232421124232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232421124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243431100000).

232421124232 is an abundant number, since it is smaller than the sum of its proper divisors (254441075768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232421124232 is a wasteful number, since it uses less digits than its factorization.

232421124232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50486 (or 50482 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 232421 and 124232, that added together give a palindrome (356653).

The spelling of 232421124232 in words is "two hundred thirty-two billion, four hundred twenty-one million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1249 1892 2498 3784 4996 9992 13739 27478 49177 53707 54956 98354 107414 109912 196708 214828 393416 429656 540947 590777 1081894 1181554 2114611 2163788 2363108 4229222 4327576 4726216 8458444 16916888 23260721 46521442 61422073 93042884 122844146 186085768 245688292 491376584 675642803 1351285606 2641149139 2702571212 5282298278 5405142424 10564596556 21129193112 29052640529 58105281058 116210562116 232421124232